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Finding the Fourth Proportional to 99.08, 149.30 and 96.92

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Solution

The fourth proportional to 99.08, 149.30 and 96.92 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.08 : 149.30 = 96.92 : x
  2. Step 2: Convert to fraction form
    99.08/149.30 = 96.92/x
  3. Step 3: Cross multiply
    99.08x = 149.30 × 96.92
  4. Step 4: Simplify right side
    99.08x = 14,470.16
  5. Step 5: Solve for x
    x = 14,470.16/99.08
  6. Step 6: Final answer
    x = 146.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.